Static critical behavior of 3D frustrated Heisenberg model on stacked triangular lattice with variable interlayer exchange coupling

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776107110131· OSTI ID:21075661

Badiev, M K ^[1]

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1. Russian Academy of Sciences, Institute of Physics, Dagestan Scientific Center (Russian Federation)

Several Monte Carlo algorithms are used to examine the critical behavior of the 3D frustrated Heisenberg model on stacked triangular lattice with variable interlayer exchange coupling for values of the interlayer-to-intralayer exchange ratio R = vertical bar '/J vertical bar in the interval between 0.01 and 1.0. A finite-size scaling technique is used to calculate the static magnetic and chiral critical exponents {alpha} (specific heat), {gamma} and {gamma}{sub k} (susceptibility), {beta} and {beta}{sub k}(magnetization), {nu} and {nu}{sub k}(correlation length), and the Fisher exponent {eta}. It is shown that 3D frustrated Heisenberg models on stacked triangular lattice with R > 0.05 constitute a new universality class of critical behavior. At lower R, a crossover from 3D to 2D critical behavior is observed.

• OSTI ID: 21075661
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 5 Vol. 105; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CORRELATIONS
HEISENBERG MODEL
MAGNETIZATION
MONTE CARLO METHOD
SPECIFIC HEAT
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS